Frontiers in Complex Dynamics (eBook)

In Celebration of John Milnor's 80th Birthday

Araceli Bonifant, Misha Lyubich, Scott Sutherland (Autoren)

eBook Download: PDF

2014
800 Seiten
Princeton University Press (Verlag)
978-1-4008-5131-7 (ISBN)

Infos

Araceli Bonifant is associate professor of mathematics at the University of Rhode Island. Misha Lyubich is director of the Institute for Mathematical Sciences and professor of mathematics at Stony Brook University. Scott Sutherland is associate professor of mathematics at Stony Brook University.

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John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P. Steele prizes. In honor of his eightieth birthday, this book gathers together surveys and papers inspired by Milnor's work, from distinguished experts examining not only holomorphic dynamics in one and several variables, but also differential geometry, entropy theory, and combinatorial group theory. The book contains the last paper written by William Thurston, as well as a short paper by John Milnor himself. Introductory sections put the papers in mathematical and historical perspective, color figures are included, and an index facilitates browsing. This collection will be useful to students and researchers for decades to come. The contributors are Marco Abate, Marco Arizzi, Alexander Blokh, Thierry Bousch, Xavier Buff, Serge Cantat, Tao Chen, Robert Devaney, Alexandre Dezotti, Tien-Cuong Dinh, Romain Dujardin, Hugo Garcia-Compean, William Goldman, Rotislav Grigorchuk, John Hubbard, Yunping Jiang, Linda Keen, Jan Kiwi, Genadi Levin, Daniel Meyer, John Milnor, Carlos Moreira, Vincente Munoz, Viet-Anh Nguyen, Lex Oversteegen, Ricardo Perez-Marco, Ross Ptacek, Jasmin Raissy, Pascale Roesch, Roberto Santos-Silva, Dierk Schleicher, Nessim Sibony, Daniel Smania, Tan Lei, William Thurston, Vladlen Timorin, Sebastian van Strien, and Alberto Verjovsky.

Produkt-Details

• Erscheint lt. Verlag: 16.3.2014
• Reihe/Serie: Princeton Mathematical Series
• Reihe/Serie: Princeton Mathematical Series
• Zusatzinfo: 32 color illus.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Graphentheorie
• Themenwelt: Technik
• Schlagworte: abstract laminated space • affine manifolds • Algebraic Geometry • amenability • antiholomorphic quadratic polynomials • antiholomorphic unicritical polynomials • arithmetics • asymptotic behavior • Auslander Conjecture • automorphisms • bifurcation currents • biholomorphisms • Brody hyperbolic foliation • cohomological field theory • Combinatorial group theory • compact complex surface • compact complex surfaces • compact Khler surfaces • compact laminations • Complex Analysis • complex manifolds • complex polynomials • conformal distortion • Conjugacy • connectedness loci • critically finite case • critical objects • Critical point • Decomposition • Differential Geometry • Differential topology • DonaldsonЗitten invariants • dynamical cores • dynamical derivatives • dynamical scales • Dynamical Systems • Dynamics • eigenvalues • Entropy • entropy theory • equidistribution • ergodic solenoids • ergodic theories • escape regions • expanding critical orbits • exponential growth • external rays • Finiteness • flat bundles • flat manifolds • four-dimensional manifolds • geometrically finite rational maps • geometric intersection theory • global meromorphic maps • group growth • harmonic probability measures • higher-dimensional asymptotic cycles • higher-dimensional dynamics • holomorphic dynamical systems • holomorphic dynamics • holomorphic dynamics studies • holomorphic germs • holomorphic maps • hyperbolic distortion • hyperbolic entropy • Hyperbolic Geometry • hyperbolicity • hyperbolic laminations • identity germ • implosions • index theorems • infinitely renormalizable quadratic polynomials • integral closure • intermediate growth • Intersection theory • Interval dynamics • Irreducibility • John Milnor • JonesЗitten invariants • Jordan curves • Julia sets • Khler manifolds • kneading sequences • K-theory • laminations • leading monomials • leading monomial vector • limiting behavior • local connectivity • local dynamics • Maldelbrot set • manifold growth • Margulis space-times • Mathematics • mating • Mbius subgroups • Metric Entropy • metric stability • M. Hakim • Milnor's conjecture • MilnorЗood inequality • monotonicity • multicorn • non-locally connected Julia sets • One-dimensional dynamics • one-dimensional maps • Parameter Space • periodic critical orbit • periodic objects • periodic orbits • perturbations • pluripotential theories • Poincar metric • polynomial growth • polynomials • positive currents • postcritically finite maps • projective space • projective surfaces • pushforwards • quadratic differentials • quadratic dynatomic curves • quadratic polynomials • random walks • rational maps • Renormalization theory • resurgence theory • Riemann surface foliations • Riemann Surfaces • rigidity • Robustness • RuelleГullivan current • SeibergЗitten invariants • Sierpinski carpets • Sierpinski gaskets • Singular foliations • singularly perturbed rational maps • Smoothness • spherical geometry • summability condition • summable critical points • tame singular points • Thurston Rigidity Theorem • topological entropy • topological polynomials • Topological space • transversality theory • transversal measure • tricorn • unbounded hyperbolic components • unicritical polynomial maps • unimodal interval map • unmating • William Thurston • YangЍills fields
• ISBN-10: 1-4008-5131-9 / 1400851319
• ISBN-13: 978-1-4008-5131-7 / 9781400851317